35 citations · 72 across the 15 of their papers we have counts for
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math.GT2021★ 1 cited
Families of similar simplices inscribed in most smoothly embedded spheres
Jason Cantarella, Elizabeth Denne, John McCleary
Let denote a non-degenerate -simplex in . The set of simplices in similar to is diffeomorphic to $O(k)\times [0,\infty)\time…
math.DG2021★ 1 cited
Square-like quadrilaterals inscribed in embedded space curves
Jason Cantarella, Elizabeth Denne, John McCleary
The square-peg problem asks if every Jordan curve in the plane has four points which are the vertices of a square. The problem is open for continuous Jordan curves, but it has been…
math.GT2021★ 5 cited
Configuration Spaces, Multijet Transversality, and the Square-Peg Problem
Jason Cantarella, Elizabeth Denne, John McCleary
We prove a transversality "lifting property" for compactified configuration spaces as an application of the multijet transversality theorem: given a submanifold of configurations o…